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Finding the Fourth Proportional to 35,741, 49,325.74 and 19,828.56

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Solution

The fourth proportional to 35,741, 49,325.74 and 19,828.56 is: 27,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741 : 49,325.74 = 19,828.56 : x
  2. Step 2: Convert to fraction form
    35,741/49,325.74 = 19,828.56/x
  3. Step 3: Cross multiply
    35,741x = 49,325.74 × 19,828.56
  4. Step 4: Simplify right side
    35,741x = 978,058,395.13
  5. Step 5: Solve for x
    x = 978,058,395.13/35,741
  6. Step 6: Final answer
    x = 27,365.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.